9 Find the derivative of ƒ (w) = w 10 +5w. What is the domain of f' (w)?

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

A:

Q: The population of a certain state was 10,290,518 in 1945 and 23,626,378 in 1990. a. Assuming the…

A:

Q: Find the time required for an investment of 5000 dollars to grow to 8700 dollars at an interest rate…

A: Our Aim is to find the time required for an investment of 5000 dollars to grow to 8700 dollars at an…

Q: 5 Use the linear equation y =(x- x - 32), where x is the degrees Fahrenheit and y is the degrees…

A:

Q: Follow the Steps to Successful Curve Sketching to sketch the graph of ƒ(x)=- Show all steps Domain…

A: Domain, Intercepts, Asymptotes

Q: Find an expression for y' given:y = (³/2)x² - 7x

A:

Q: Simplify. Enter the result as a single logarithm with a coefficient of 1. log, (a") +log, (122³)…

A:

Q: Given vectors u =(−3, 2) and v = (6, 7), find the sum u + v and write the result in component form.

A:

Q: Evaluate the integral. (Use C for the constant of integration.) | 8 sin²(x) cos³(x) dx

A: The integral is ∫8 sin2xcos3xdx

Q: Let f(x) = 2z² + 1z 1 32²-22-8 This function has: 1) Ay intercept at the point 2) x intercepts at…

A: Given  f(x) = 2x2+1x -13x2-2x-8   As per the guidelines, I am providing the solution to the first…

Q: Solve for x: log₂ (2¹) --4 2

A: This is question of calculus Here one logerithmic equation given we have to solve for it. Further…

Q: Use the Divergence Theorem to find the surface integral F.ds across the positively- S oriented…

A:

Q: 15. d²y Find an equation for the line tangent to the curve at the point defined by the given value…

A: Given

Q: Write an integral that represents the area of the shaded region of the figure. Do not evaluate the…

A: Given equation of polar curve, r=6 sinθ

Q: Hiw Find the Volume of the solid bounded the cylinder x² + y² = 4 and the planes y +2. and Z=0 ?…

A: x2+y2=4=r2 y+z=4⇒z=4-y z=0 x=rcosθ y=rsinθ 0≤z≤4-rsinθ 0≤r≤2 0≤θ≤2π

Q: /(r) = = = 7²³ ) Approximate the change in the volume of a sphere when its radius changes from r =…

A:

Q: The expression 729g¹y³√729g4y³ = kg"y where:

A:

Q: Find the vertical, horizontal, and oblique asymptotes, if any, for the given rational function. x-1…

A:

Q: In the following, let f and g be functions such that f' and g' are both continuous on [3,6] and both…

A: Let f and g be fuctions such that f' and g' are both continuous on 3,6 and differentiable on 3,6 and…

Q: Compute the work done by a force F(x, y) = V(x²+2x+y²) on an object displeed along a curve oining…

A: Workdone=∫F.⇀dr

Q: Given vector v = (-4, 4), find 2.5v graphically by stretching the vector by its tip and then writing…

A: Given data v=-4,  4 find- 2.5v

Q: List the zero's of f(x) = x³ +3x²+2x.

A:

Q: The graph of y = f(x) (solid) and its tangent line at x = 0 (dashed) is shown; a second point on the…

A: The graph of y=fx (solid) and its tangent line at x=0 (dashed)  is shown; a second point on the…

Q: Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 8) A television camera is positioned 4000ft from the base of a rocket launching pad. The angle of…

A:

Q: $4.3 Curve Length in Parametric The arc length of the curve defined by the equations z(t) = 12…

A:

Q: Find the Taylor polynomial T₂(x) for the function f(x) = 6e²x at x = 0. (Use symbolic notation and…

A:

Q: Solve the equation-9z+2=-43 algebraically. Show each step in the boxes given. Step 1: ? ? Gives…

A: Given data

Q: Write a polar equation of a conic with the focus at the origin and the given data. 7 3' hyperbola,…

A: The polar equation of a conic section with  focus at origin, eccentricity e and the equation of…

Q: 4. Using the properties of the exponential function show that lim log x² x-0 =

A: Given that            limx→0log x2=-∞   Applying log rule:        logex=lnx           =limx→0+lnx2…

Q: Find the domain of the function. f(x)=√3x-9 The domain is. (Type your answer in interval notation.)

A: given function is f(x)=3x-9

Q: How much will Software E cost you in the long run? $[?] Satisfied 75%. $0 $6,000 Software E Software…

A: Based on the given data we need to find the cost of the software E. This can be evaluated as…

Q: Find the indefinite integral using the substitution x = 3 sin(0). (Remember to use absolute values…

A: The given integral is: ∫9-x2x dx

Q: 3. Find the Taylor series centred around zero for the function f defined by 5x-1 = e f(x) =

A: fx=e5x-1a=0

Q: 4. The half-life of plutonium-239 is 24,360 years. If 10 g of plutonium is released into the…

A:

Q: Find the vertical, horizontal, and oblique asymptotes, if any, of the given rational function. R(x)…

A:

Q: A 10-kg quantity of a radioactive isotope decays to 7 kg after 17 years. Find the decay constant of…

A:

Q: x²-16 3 A) -4 and 4 and- 2 C) -4 and 4 B) 4 D) Nonede D) a 10)

A:

Q: Find all critical numbers for the following function. Then use the second-derivative test on each…

A:

Q: (1) (2) Find the points on the curve where you have a horizontal tangent line for the function…

A:

Q: Find y' given: Y = 6 √x

A:

Q: Evaluate the integral. Show that the substitution x = √II sec(0) transforms I into cos(0) de, and…

A: I=∫dxx2x2-11 where, x=11secθ

Q: Solve the following homogeneous differential equation: 2y4+ x1 Kya =

A:

Q: Find the area between the curves. x = -5, x = 1, y = 4x, y = x² - 5 The area between the curves is…

A:

Q: Suppose f(8) = 6 and f'(8) = 4. Find the following. ef (x) - e6 lim 18 x² - 4x - 32 || ef(z)-6-f(x)…

A: f(8)=6 and f'(8)=4 Find limx-8[ef(x)-e6]/(x2-4x-32)  Limx-8[ef(x)-6-f(x)+5]/(x2+16x+64)

Q: Find the area of the surface. The part of the plane 3x + 4y + z = 12 that lies inside the cylinder…

A:

Q: By the alternating series test, the series First find the partial fraction decomposition of 7…

A:

Q: Given the vector u equal to 8 (cos 0°, sin 0°) and vector v equal to 3 (cos 165°, sin 165°), find…

A: U=8(cos0,sin0)  V=3(cos165,sin165)  To find the magnitude and direction.

Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: